Question

Which of the following represents the translation of R (-3, 4) along the vector <7, -6> and then the vector <1, 3> ?

Answer 1

R(-3, 4) → R'(4, 2) → R''(3, 1)

Step-by-step explanation

To translate the point R(-3, 4) along the vector <7, -6>, we have to add each coordinate of the vector to each coordinate of the point,

`R(-3,4)\to R^(\prime)(-3+7,4-6)=R^(\prime)(4,-2)`

Then, for the other vector <-1, 3> the process is the same,

`R^(\prime)(4,-2)\to R^(\doubleprime)(4-1,-2+3)=R^(\doubleprime)(3,1)`

Hence, the sequence is R(-3, 4) → R'(4, 2) → R''(3, 1).